A204965 Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order

1001, 10416, 107004, 1085013, 11064389, 112737183, 1148525798, 11702245817, 119229499197, 1214782915724, 12376980933171, 126104433912865, 1284831124127710, 13090666419795969, 133375927901618445

Offset

1,1

Comments

Column 2 of A204971

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 11*a(n-1) -9*a(n-2) +29*a(n-3) -210*a(n-4) +7*a(n-5) -971*a(n-6) -1388*a(n-7) +7393*a(n-8) -9606*a(n-9) +28079*a(n-10) +10781*a(n-11) -46816*a(n-12) +50251*a(n-13) -90767*a(n-14) -9183*a(n-15) -77397*a(n-16) -116946*a(n-17) +369968*a(n-18) -32805*a(n-19) +176157*a(n-20) -170891*a(n-21) -179390*a(n-22) +410642*a(n-23) -65329*a(n-24) -113084*a(n-25) -317433*a(n-26) -82066*a(n-27) +51363*a(n-28) +113397*a(n-29) +72303*a(n-30) +47130*a(n-31) +5496*a(n-32) -11433*a(n-33) -7478*a(n-34) -7206*a(n-35) -1902*a(n-36) -664*a(n-37) +48*a(n-38) -80*a(n-39) for n>40

Example

Some solutions for n=3
..0..0..1..1....0..1..0..0....0..0..1..0....0..1..1..1....0..0..0..0
..0..1..0..0....1..1..1..1....1..0..1..0....1..0..0..1....1..0..1..0
..0..0..0..0....0..1..1..1....0..0..1..1....0..0..0..1....0..0..0..1
..0..0..0..0....1..0..1..1....0..0..0..0....1..0..1..1....1..0..1..0
..1..0..1..1....1..1..1..1....0..0..0..1....1..0..1..1....1..0..0..0

Crossrefs

Sequence in context: A328947 A114387 A357774 * A192776 A218640 A221347

Adjacent sequences: A204962 A204963 A204964 * A204966 A204967 A204968

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved